Question $5)$ A car manufacture company wants to build a new production facility. The marketing has developed a feasibility study that suggests two possible capacities of $200,000$ or $250,000$ units per year for the new facility. The $200,000-$ unit plant would have an annual fixed cost of $$4$ million and a per unit production cost of $$20.$ The $250,000-$unit plant would have an annual fixed cost of $$6$ million and a per unit cost of $$15.$ The parts will be sold for an average price of $$60$ per unit.